Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #16840416 | C2 | semidirect |
| 2. #16840165 | C2 | semidirect |
| 3. #16840075 | C2 | semidirect |
| 4. #16840073 | C2 | semidirect |
| 5. #16840042 | C2 | semidirect |
| 6. #16840039 | C2 | semidirect |
| 7. #16839996 | C2 | semidirect |
| 8. C4×#11758199 | C2 | semidirect |
| 9. D4×#92418 | C2 | semidirect |
| 10. C2×#14519710 | C2 | semidirect |
| 11. C61×#547 | C2 | semidirect |
| 82. D4×C61 | D8 | semidirect |
| 103. #92418 | #41 | semidirect |
| 131. #547 | D61 | semidirect |
| 141. C61 | #3334 | semidirect |
| 216. D4 | #11758199 | semidirect |